Q1. 12 persons working 8 hours a day can complete a work in 10 days. In how many days 18 persons working 7 hours day will complete 70% of work?
(a) 9 days
(b)5 1/3 days
(c)6 1/5 days
(d)4 1/2 days
Q2. Let ∆ ABC ~ QPR and ar(ABC)/ar(PQR) =1/16. If AB = 3 cm, BC= 5 cm an AC = 7 cm, then PQ is equal to –
(a) 12 cm
(b) 9 cm
(c) 15 cm
(d) 18 cm
Q3. ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ ADC = 145°. What is the measure of the ∠ BAC?
(a) 65°
(b) 75°
(c) 45°
(d) 55°
Q4. From the top of a 100 m high tower, the angle of depression of the top of a pole is 30° and the angle of depression of the foot of the pole is θ, such that tanθ =2/3. What is the height of the pole?
(a) 50(2-√3)m
(b) 50(2+√3)m
(c) 100(2+√3)m
(d) 100(2-√3)m
Q5. What is the ratio of mean proportion between 4.9 and 16.9 and third proportion between 3 and 7?
(a) 61 : 59
(b) 11 : 13
(c) 43 : 57
(d) 39 ; 70
Q6. If x+1/x=3, find x^5+1/x^5
(a) 125
(b) 128
(c) 123
(d) 121
Q7. If sec 3x = cosec (4x–35°), then x equal to –
(a) 19.2
(b) 18.3
(c) 17.8
(d) 14.7
Q8. A cuboid of edge 32 cm, 8 cm, 6 cm, is cut to form cube of edge 4 cm each. What is the sum of total surface area of all cubes formed?
(a) 2304 cm²
(b) 2010 cm²
(c) 2107 cm²
(d) 2086 cm²
Q9. If a³ – b³ = 4104 and (a–b) = 6, find (a+b)² – ab is eqal to–
(a) 592
(b) 684
(c) 618
(d) 612
Q10. In an examination, 33% passed in science and 57% failed in mathematics. If 41% failed in both subjects, what percentage passed in both subjects?
(a) 21%
(b) 23%
(c) 17%
(d) 27%
